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Finding the Fourth Proportional to 498,616.32, 747,508.14 and 232,239.72

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Solution

The fourth proportional to 498,616.32, 747,508.14 and 232,239.72 is: 348,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,616.32 : 747,508.14 = 232,239.72 : x
  2. Step 2: Convert to fraction form
    498,616.32/747,508.14 = 232,239.72/x
  3. Step 3: Cross multiply
    498,616.32x = 747,508.14 × 232,239.72
  4. Step 4: Simplify right side
    498,616.32x = 173,601,081,131.32
  5. Step 5: Solve for x
    x = 173,601,081,131.32/498,616.32
  6. Step 6: Final answer
    x = 348,165.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.